Very early on in this blog I was guessing that the origins of the Fibonacci Series is the Ancient Vedic Age. A world wide Sanskrit speaking Culture. A Korean website describing dolmens all over the world brings amazing clues. And www.absoluteastronomy.com , I think it is, has historical. Many other websites are in accord with this idea. Jain mathematics. You can even find info on You Tube.

Again it is late at night now and the essays must wait till another time.
I think I will update this page when I am better organised.

I am keen to publish Diorama with mermaids and seashells, on the next post!
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S.Goonatilake writes that “the Fibonacci Series was known,
independently of the West, in Indian Mathematics.Attributed in part to Pingala 200 BC,then Virahanka about 700 AD, Gopala 1135 AD
and Hemachandra 1150 AD.”

Wikipedia
mentions - Vedas 3000 BC,ended 500 BC.

Rishis were seers.

Aryabhatta,famous for
the Vedic discovery of zero.

http://www.omved.com“Om has its origin in the unmanifest.Oldest references are not in the Rig Veda but
in Upanishads.”

http://www.jainmathemagics.comSeven Books about Phi by Jain108 of
Mullumbimby Northern New South Wales, Australia…..secret codes in the Gayatri
Mantra…16 mathematical sutras….workshops offer learning Rapid Mental
Calculation…he has a good diagram of the computational pattern of the sunflower
seedsand a perfect image of a splash
droplet……Lo Shu magic square of 9….The Multidimensional Powers of Phi…psi….learn
the secrets of Nature.

“From Natural Numbers to Numbers and Curves in Nature” by
AKMallik,Professor of Mechanical
Engineering at Indian Institute of Technology, Kanpur.http://www.ias.ac.in/resonance/oct2004/pdf/oct2004,34-40I am not sure if access is possible directly
from my blog.I mention this report
because sometimes one never finds the same work again.This is from Resonance, Vol 9, No 9, pp
29-37, 2004He has equations for double
spiral sunflower,plus a very Vedic
approach, I am guessing.

Have you noticed maths featuring more extensively on ABC Radio National
and in books and magazines?

When I was in Queensland last October there was in the local library a copy of New Scientist which fell to my hands, and mind boggling is modern maths! One thousand dimensions! "The Algorithm that rules the world". I shall work on the info that I noted down and publish it soon. There is quite a lot to work with; very fascinating. Canada's Massey Lectures 2012 is on at the moment 8pm drat I missed it now it is 9pm...repeat is 3am. I listened this morning 3am. Big Bang etc. www.abc.net.au/rn/Massey lecture. Two more to go. For copyright reasons there is no transcript. One must buy the book. I shall update this post accordingly asap.

Elaboration 7/7/2013

New Scientist, 11
August 2012. Vol 215.No. 2877.

“The Algorithm That
Rules the World”pp 32-37. By Dr Richard
Elwes, visiting Fellow, University of Leeds,author of “Maths 1001”.

He noted Historical:-

300BC Euclid

820 Al-KhwarzmuQuadratic equationsx2

18th
centuryLeonhard Euler

1936 Alan Turing

1948 George
DeutzigSimplex algorithm

1957 John Backus IBM
Fortran

1972 Klee and Minty
USAA hypercube in n dimensions has 2n
corners.

In 41
dimensions it has a trillion edges for the simplex algorithm to crawl
along…

Dr Elwes notes a cube
has 6 faces and 8 corners = 14.Edges =
12.

This is the Rule for
Polyhedrons.

A 4D Hypercube has 16
corners, 24 faces, 32 edges,added to
the number of 3D”facets” of the shape (8).

This is an excellent
discussion between three mathematicians, re the story of this from 1637.In 1995 the puzzle was finally solved by
Britain’s Andrew Wiles.One can read
transcript of the entire program online.

***Dr Ron Knott was on
this same program Nov 29, 2007.Re
Fibonacci Series.

--------------------------------

CBC Massey Lectures,
with Neil Turok,“The Universe Within Us
will be the key to our future.It is as
if the evolutionary process has an anticipatory element”.

I went to Google Images
to view the painting.It is a frescoe in
the Vatican Stanza della Segnatura, commissioned by Pope Julius 2 who died in
1513.

Michelangelo was
painting the Sistine Chapel at around the same time.

Raphael was born March
1483 and died June 1520,only 37 years
old.

One can choose from
many images and websites for discussion.A good one is norfleet1941.tripod.com.the author divides the picture into six groups-sometimes there is doubt as to who is
who…scholars differ….is it Hypatia, orDuke of Urbino or Jesus?........

Raphael painted the
architect Bramante as Archimedes (or Euclid?) drawing on the pavement with a
compass (lower RHS), Diogenes is sprawled centre, in a one shouldered blue
robe,Plato is holding the Timaeus and
pointing to heaven, Michelangelo with a mop of dark hair is portrayed possibly
as Heraclitus or Democritus at lower middle.Raphael has painted himself looking out at us – his is the calm face to
the right of the work.His friend
Castiglioni invented a term for Raphael’s work –“sprezzatura”which means “a certain nonchalance which
conceals all artistry and makes whatever one says or does seem uncontrived and
effortless”.……I quote these words
because I like them so much, tho I worry about copyright…..there is so much
lost in the world; it becomes ephemera…….

Later in the lectures:-Friedmann, Krutkov 1920, Lemaitre, US Georg
Genulf.

These are most wise and
in depth historical scientific lectures.I cannot write more.

One can buy the book
“The Universe Within” from the House of Anansi Press, from cbc shop online or
even from iTunes.

Neil Turock is Director
of Canada’s Perimeter Centre Institute for Theoretical Physics, was previously
Professor of Physics at Princeton University and was Chair ofMathematical physics at Cambridge.

You can see and hear
him on YouTube and on Ted Radio Hour Talks for NPR.

------------

“I Died For
Beauty”,Dorothy Winch and the Cultures
of Science, by Marjorie Senechal.

Tells the story of a
pioneering and controversial female mathematician who helped shed light on the
molecular structure of proteins, was the first to receive a Doctor of Science
from Oxford University.

In 1850 Lantern Slides were invented.Beautiful models pictured.1965 Dorothy stashed her slides on a high
shelf.New technology had made them
redundant. The slides were later discovered and the book was written.

------------------------

“So Crazy It Might
Work”,on This American Life radio and
transcript online.

1644 monk Marin
Marsenne was obsessed with prime numbers.Book,“The Man Who Loved Only Numbers” by Paul Hoffman.267
– 1was the famous formula to
predict these.

In 1903 a mathematician
Frank Nelson Cole, at a maths conference gave a talk.He wrote down the Formula.Then a number 21 digits long.Then = a number 9 digits long x a number 12
digits long.Silence.Long Multiplication.Result was – that number!

It had taken him 3
years of Sundays ie 156 days to prove he could factorise that number.

------------------

Alan Turing

June 2012 marks 100
years since his birth.He is credited
with the invention of the modern computer.His tragic death- suicide by cyanide poisoning- marked a life persecuted
for his homosexuality.He’d accepted
treatment with female hormones as an alternative to prison in 1952. *

His
was a life of great achievement nonetheless.There are endless stories online and in Wikipedia.One such is http://www.incorrectpleasures.blogspot.com.au where I found his epitaph.Others are
jenorton.tumblr.com/post/8987599032/the-epitaph-of-alan-turing. And
http://www.primemagazine.com/2010/learn/great-men-you’ve-never-heard-of-alan-turing

One has complete
transcript you can read.“In particular,
one can account for the appearance of Fibonacci numbers in connection with fir
cones” is a quote from him.His 1952
paper was “The Chemical Basis of Morphogenesis”.“Turing believed that chemicals, following
simple math rules could account for all the diversity in nature.”

His Epitaph:-

“Hyperboloids of
wondrous Light

Rolling for aye through
Space and Time

Harbour those Waves
which somehow Might

Play out God’s holy
Pantomime.”

--------------

** I find it such a
pity – I believe the real reason for being gay is that in the mother’s womb the
foetus might be exposed to non appropriate hormones (ie hormone disrupting
chemicals, even oestrogens found in food!) at critical stages of
development.It can take only 1 part per
billion as the critical dose.

Just read “Our Stolen
Future” by Theo Colborn, Dianne Dumanoski and John Peterson Myers. Prof Fred vom Salkdoes mouse experiments.Many scientists are at work on this. BPA in plastic is related to breast and prostate cancers.See http://www.ourstolenfuture.com and especially a recent article by Dr
John P Myers.

There is also a YouTube
video – 15 years on- certain chemicals interact with genes.Suites of genes are being turned on and off
all the time.

Dr Colborn wrote and I
quote from memory,

“Genes
are like the keys on a piano.It is the
hormones that play the tune”.

Strange how it has been
ignored.Even the New York Times
declared war on the theory 21 March 1996! There
must be a way to do things better.We
must get rid of all hormone disrupting chemicals and go Green Chemistry.It is happening. My feeling is that many diseases are result of the poisoning of our earth- insulin and obesity, hormone disturbances of all kinds and severity.

3.Laureate
Professor Jonathan Borwein of School of Maths and Physical Sciences, University
of Newcastle, NSW, Australia.

Data mining/simulation,cursive exponentiality,microparallelism (Google does it with info)

Gauss called mathematics the Queen of Science.Maths is many languages.Discover computer communication and
collaborative skills.The IBM Watson
machine beat the Japanese at – chess?

Project Polymath of Tim Gowers = radical departure for the
sciences.Internet helps people anywhere
do world class maths and physics.

4.Prof Terence Taoof Mathematics Dept, UCLA, was a child
prodigy.He won the Fields Medal which
is the highest accolade in maths.He is
involved in the Polymath Project.Another software is Maple.He
speaks very fast!

Lastly,Salman Kahn of “One World
Schoolhouse”.Salman Kahn Academy.2 million students per month.Maths.( And every conceivable subject, it seems).It is best to learn at home on video, then do
the calculations at school.Learn by
teaching others.

See him on YouTube,on TED Radio Talks.Radio
interviews abc.net.au search…….Fantastic.

It came to me with a jolt one morning
that if Phi to minus Powers has an Equation related to the Fibonacci series,
then it must follow that Phi to plus Powers would have a similar Equation.

Just by looking at the following Tables one can see
that Phi to the Power n is related to the half Fibonacci Series!

Next I related the Powers of Phi to the Half Fibonacci numbers:-

The ratio is 0.947217 or very close to this....

**************************************

I decided to calculate the other way, to be more in line with the minus powes equation:-

The ratio is inverse to above, that is 1.055727

For a while I thought it was really close, that last one----7881193 but it was equiv to 7811356

(not 78811......!). Must be honest...not exact, but awfully close- only 70000 out! but at those huge numbers I'd have to study it further--- this is all I have the energy to do.

*****************

Correction 6/2/2013----the error was one of simple transcribing---

I recalculated 0.5278639 x 14930352, = 7881193.8

and that is almost exactly equal- only 0.1 difference from phi to power 33!

You get a different result if you use 0.52786395, or 0.527864 or 0.52786

I used the result one gets on the calculator ie 0.5278639

We could do the same calculations all over the Fibonacci Series but if the number is larger than 8 digits we are unable to use calculator- we need to do long manual multiplications.

******************************

What it all means, I have no idea. From my reading on the Fibonacci series there may be an application in space travel or consciousness; see http://www.crystalinks.com and fibonacci. there is an excellent picture of the brain.

Monday, January 7, 2013

Please take a look at this. Never again can anyone say that the Fibonacci Series is just "flim flam".

IF THE NUMBERS ARE TOO SMALL TO READ,
Please CLICK ON THE IMAGE TO ENLARGE.

One can use "control and +" to further enlarge,
then "control and _" to return to size.

﻿

Table 1: Plus Powers of Phi. **notice column 3!

﻿

﻿﻿

Table 2: Minus Powers of Phi

﻿﻿

Remember the Cosmic Ouroborus of a recent post?
10 to the Power minus 33 cm is the smallest length, the Planck length.

Table 2 shows Phi ie 1.6180340 (from the Fibonacci Series),
calculated for Powers to minus numbers.
***Phi to the power minus 33 is 0.0000001,
***Phi to the power minus 34 is zero

Phi to the Power 1 is 1.618034
Phi to the Power 0 is 1
Phi to the Power -1 is 0.618034, etc... all the way to -33 power...
This is what happens between 1 and 0.

I guess this limit is due to 8 digit calculator.
I wonder what a supercomputer might do.
..........................................................................

You can also see how the calculations almost follow the Fibonacci Series(x 10 to power minus 7)from F34 and continuing on back to F1.

They are exact at 0.0000001, 0.0000002, 0.0000003, 0.0000005, 0.0000008....
That is what alerted me when I saw this. I was amazed and excited!The calculations correlate with the Fibonacci series, true to a ratio of 1.08372.

Table 3: Ratios: Digits for Minus Powers of Phi, to the closest Fibonacci Number

The photo above was taken in bright sunlight, but such greyishness!
I wonder is it because of particles in the atmosphere from chemtrails (photo below)?
I feel mighty uneasy about what is happening- sometimes there are up to 5 aircraft at it, all day, often every day; I've noticed them last year! Oh dear.

About Me

Born in Germany January 1946 and migrated to Australia in 1949.
B.Sc from UNSW 1970.
Name is Tiiu Vanamois.
Email is tmvanam@gmail.com .
Blogs are www.awhatifworld.blogspot.com
and www.acolourfulpost.blogspot.com
and www.biomathcraft.blogspot.com.
-------The first is to do with my Land and ecology of the World.----The second is about Art and Health.----The third is mainly a study of Mathematical Series, namely Fibonacci, Lucas, Bifurcating Series. Plus varius related themes--------- Of big interest is the making of models using crochet or knitting ------if anyone is interested in working with this, please do so ------------There are two asterisks **, after all posts in date index to do with crochet or knitting or making patterns for models-------------------- 4 asterisks** ** for Tables.